Invariant submanifolds of contact (, )-manifolds are studied. Our main result is that any invariant submanifold of a non-Sasakian contact (, )-manifold is always totally geodesic and, conversely, every totally geodesic submanifold of a non-Sasakian contact (, )-manifold, 0, such that the characteristic vector field is tangent to the submanifold is invariant. Some consequences of these results are then discussed.
Titolo: | Invariant submanifolds of contact (k,μ)-manifolds |
Autori: | |
Data di pubblicazione: | 2008 |
Rivista: | |
Handle: | http://hdl.handle.net/11584/23101 |
Tipologia: | 1.1 Articolo in rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
gmj.pdf | versione editoriale | Non specificato | Administrator Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.